114236443541025 has 243 divisors, whose sum is σ = 225621887364939. Its totient is φ = 55226756782080.

The previous prime is 114236443541023. The next prime is 114236443541089. The reversal of 114236443541025 is 520145344632411.

The square root of 114236443541025 is 10688145.

It is a perfect power (a square), and thus also a powerful number.

114236443541025 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 3 + 64 + 43 + 541 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 97466828855841 + 16769614685184 = 9872529^2 + 4095072^2 .

It is not a de Polignac number, because 114236443541025 - 2¹ = 114236443541023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (114236443541023) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 122967107761 + ... + 122967108689.

Almost surely, 2^{114236443541025} is an apocalyptic number.

114236443541025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114236443541025 is the 10688145-th square number.

114236443541025 is the 5344073-rd centered octagonal number.

It is an amenable number.

114236443541025 is a deficient number, since it is larger than the sum of its proper divisors (111385443823914).

114236443541025 is an frugal number, since it uses more digits than its factorization.

114236443541025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 114236443541025 in words is "one hundred fourteen trillion, two hundred thirty-six billion, four hundred forty-three million, five hundred forty-one thousand, twenty-five".